Write a C++ program to print the truth table for the following propositional statement using the variables a, b, c, d, e:

(( c V ~d ) A b ) A ~( d V a A e )

Note: V represents OR, A represents AND, ~ represents NOT

The truth table should include 6 columns: a, b, c, d, e and answer.

Output should contain 33 rows:

The first row should display column headers (using the correct symbols). The last 32 rows should contain the values of the truth table.

To make this program easier to read and grade, format the 5 propositional variables as follows:

a: toggle between 16 T then 16 F

b: toggle between eight T then eight F

c: toggle between four T then four F

d: toggle between two T then two F

e: toggle between one T then one F

Do not hardcode the truth values. They must be calculated.